 | William Nicholson - 1821 - 406 pagine
...or that straight line produced. 14. Theorem IV. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...interior and opposite angle on the same side ; and likewise the two interior angles upon the same side, together, equal to two right angles If AB (fig.... | |
 | Euclid, Robert Simson - 1821 - 514 pagine
...Wherefore,' if a straight line, &c. QED PROP. XXIX. THEOR. IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right... | |
 | Peter Nicholson - 1825 - 1046 pagine
...straight line, &c. OKD Proposition ХХГХ. Theorem, If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two... | |
 | Robert Simson - 1827 - 546 pagine
...1 Ax. f2 Ax. * 13. 1. t 1 Ax. PROP. XXIX. THEOR. If a straight line Jail upon two parallel straight lines, it makes the alternate angles equal to one...exterior angle equal to the interior and opposite upon the same side .• and likewise the two interior angles upon the same side together equal to two... | |
 | John Radford Young - 1827 - 228 pagine
...it will make the alternate angles equal, the exterior angle equal to the interior opposite one, and the two interior angles on the same side together equal to two right angles. Let the straight line EFG fall upon the parallels AB and CD ; the alternate angles AGF and DFG are... | |
 | John Radford Young - 1827 - 246 pagine
...are together equal to two right angles. Cor. 4. Also, a line intersecting two parallels makes (lie two interior angles on the same side together equal to two right angles. Cor. 5. A line perpendicular to one of two parallels is perpendicular to the other. Cor. 6. Therefore,... | |
 | John Playfair - 1829 - 210 pagine
...parallel. A straight line intersecting two parallel straight lines makes the alternate angles equal, and the exterior angle equal to the interior and opposite angle on the same side of the cutting line, and the sum of the two interior angles on the same side equal to two right angles.... | |
 | Dugald Stewart - 1829 - 442 pagine
...asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never meet ; " — is not the boundless... | |
 | Dugald Stewart - 1829 - 418 pagine
...asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never meet;" — is not the boundless... | |
 | Thomas Perronet Thompson - 1833 - 168 pagine
...makes the exterior angle equal to the interior and opposite on the same side of the line ; and makes also the two interior angles on the same side, together equal to two right angles. For First ; because (by the Prop, above) it makes the alternate 1 1. 15. angles GHC, HGB equal to one... | |
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IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together... 
